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- W2077510992 abstract "This paper discusses and compares the spatial accuracy of the QUICK finite difference scheme and the third-order convection, second-order diffusion (TCSD) scheme for the severe case with pure advection only. It is shown that the QUICK scheme is generally second-order accurate in space and that a general explicit finite difference representation of various upwind difference schemes is numerically unstable for the severest transport case. Various modified forms of the implicit TCSD scheme are presented with their numerical stability properties being studied and analysed. These modified schemes have been applied to an idealised one-dimensional test basin for the cases of pure advection and of advection and diffusion using three different initial-boundary conditions, including: (a) a sharp front concentration gradient; (b) a Gaussian concentration distribution; and (c) a plug source. A two-dimensional version of the modified TCSD scheme has also been formulated based upon the standard ADI technique and has been applied to three two-dimensional test cases, including pure advection for a circular column and a Gaussian distribution, and advection with diffusion for a Gaussian distribution. Both uniform and rotational flow fields were used for these two-dimensional tests. The scheme has been shown to be attractive, with details of the comparisons between these modified schemes and other similar higher order schemes together with the corresponding analytical solutions also being included in the paper." @default.
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- W2077510992 date "1994-01-01" @default.
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- W2077510992 title "Modified forms of the third-order convection, second-order diffusion scheme for the advection-diffusion equation" @default.
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- W2077510992 doi "https://doi.org/10.1016/0309-1708(94)90038-8" @default.
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